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Factorize a2x - b2y - b2x + a2y

Mathematics
JAMB 1994

Factorize a2x - b2y - b2x + a2y

  • A. (a - b)(x + y)
  • B. (y - x)(a - b)(a + b)
  • C. (x - y)(a - b)(a + b)
  • D. (x + y)(a - b)(a + b)
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Correct Answer: Option D
Explanation

a2x - b2y - b2x + a2y = a2x - b2x - b2y + a2y Rearrange

= x(a2 - b2) + y(a2 - b2)

= (x + y)(a2 - b2)

= (x + y)(a + b)(a - b)


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